leo has a balance, and hes playing around with some weights and wooden blocks. he eventually gets the two…

leo has a balance, and hes playing around with some weights and wooden blocks. he eventually gets the two sides to balance with 6 blocks and a 200 - ounce weight on one side and 2 blocks and a 500 - ounce weight on the other side. how much does each wooden block weigh? simplify any fractions. ounces

leo has a balance, and hes playing around with some weights and wooden blocks. he eventually gets the two sides to balance with 6 blocks and a 200 - ounce weight on one side and 2 blocks and a 500 - ounce weight on the other side. how much does each wooden block weigh? simplify any fractions. ounces

Answer

Explanation:

Step1: Set up the equation

Let the weight of each block be (x) ounces. The equation based on the balance is (6x + 200=2x + 500).

Step2: Subtract (2x) from both sides

(6x-2x + 200=2x-2x + 500), which simplifies to (4x+200 = 500).

Step3: Subtract (200) from both sides

(4x+200 - 200=500 - 200), resulting in (4x=300).

Step4: Divide both sides by (4)

(x=\frac{300}{4}=\frac{75\times4}{1\times4}=75).

Answer:

(75)